Suppose you invest a certain amount of money in account that earns 3% annual interest. You also invest that same amount + $2000 that earns 4% annual interest. If the total interest from both accounts at the end of the year is $535, how much has been invested in each account?

Answers

Answer 1
First account: $6500
Second account: $8500

Set x is amount of money in first account
=> x + 2000 is money in second account.
X*3% + (x+2000)*4% = 535
=> x = (53500 - 8000) / 7
X = 45500 / 7 = 6500
=> account #1 = x = 6500
Acc #2 = x + 2000 = 6500 + 2000 = 8500

Related Questions

Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $560.00 and her monthly expenses are $347.49, what percent of her net pay is left for savings? (2 points)
19%
23%
38%

Answers

Answer:

38%

Step-by-step explanation:

First determine her savings

560-347.49

212.51

Then divide by the total amount

212.51/560

.379482143

Change to percent form

37.948%

Answer:

38%

Step-by-step explanation:

[tex]560.00-347.49=212.51\\212.51\div560.00==38[/tex]

Mutiplying intergers.
Right answer only! Help!! Lots of points and free brainlist! Wrong and scam answers wiLl be reported and dealed with.
(-1) x 1=

Answers

Answer:

Step-by-step explanation:

(-1) × 1 = -1

Answer:

-1

Step-by-step explanation:

anything times 1 =1. except 0.

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Find each measurement. Round your answers to the nearest tenth. Part 2dd​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Sine rule in all 3 questions

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

(2)

[tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{45}{sin133}[/tex] = [tex]\frac{c}{sin26}[/tex] ( cross- multiply )

c × sin133°  = 45 × sin26° ( divide both sides by sin133° )

c = [tex]\frac{45sin26}{sin133}[/tex] ≈ 27.0 ( to the nearest tenth )

(4)

[tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{19}{sinB}[/tex] = [tex]\frac{30}{sin97}[/tex] ( cross- multiply )

30 sinB = 19 sin97° ( divide both sides by 30 )

sinB = [tex]\frac{19sin97}{30}[/tex] , then

∠ B = [tex]sin^{-1}[/tex] ( [tex]\frac{19sin37}{30}[/tex] ) ≈ 38.9° ( to the nearest tenth )

(6)

[tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex], substitute values

[tex]\frac{18}{sin102}[/tex] = [tex]\frac{xAB}{sin45}[/tex] ( cross- multiply )

AB sin102° = 18 sin45° ( divide both sides by sin102° )

AB = [tex]\frac{18sin45}{sin102}[/tex] ≈ 13.0 ( to the nearest tenth )


Compose an expression to find the 20th term of any arithmetic sequence in terms of just a and d. Look at the pattern in
part A with the first three terms to help you.
20th term:

Answers

Answer:

Hello,

Step-by-step explanation:

u(i) is the ith term of the a.s

a is the first term and d the common difference

for n in {1,2,3...}: u(n)=a+(n-1)*d

u(1)=a+0*d=a

u(2)=u(1)+d=a+d=a+1*d

u(3)=u(2)+d=a+1*d+d=a+2*d

...

u(20)=a+19*d

Answer:

a+19d

Step-by-step explanation:

edmentum

Explain the sum of geometric progression​

Answers

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.

For example, the sequence 1, 2, 4, 8, 16, 32… is a geometric sequence with a common ratio of r = 2.

When 1 is multiplied by 2 it results in 2. When 2 is multiplied by 2 it gives 4. Likewise, when 4 is multiplied by 2 we get 8 and so on.

90 units needed 8per case

Answers

Are you asking how much cases is needed to to reach the 90 units? If yes then 90/8 which would give you 11.25. But since it’s by case then round up to get 12 cases. I think I answered it wrong but

Which describes the correlation shown in the scatterplot?

On a graph, points are grouped closely together and increase.
There is a positive correlation in the data set.
There is a negative correlation in the data set.
There is no correlation in the data set.
More points are needed to determine the correlation.

Answers

Answer:

More points are needed to determine the correlation.

Answer:

its d

Step-by-step explanation:

;)

pls help! I need the answer fast!

Answers

Answer:

B is the answer

Step-by-step explanation:

hope it helps

what's the formula for sum of
geometric progression

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]u_1\ is\ the \ first\ term\ of\ the\ gp\\q\ is \ the\ common\ ratio\\\\\\\boxed{u_n=u_1*\dfrac{q^n-1}{q-1} }[/tex]

Which line is parallel to y = -2x + 8

Answers

Answer:

y=-2x-7

Step-by-step explanation:

after putting the choices with the question in a graph I found that that ones stays in a line with the question

Brainliest please!!

Complete the equation describing how x
and y are related.
Х у
y = [? ]x +
07
1 9
2 11
3 13
4 15
5 17
Enter the answer that
belongs in [?]

Answers

Answer:

Hello,

Answer 2

Step-by-step explanation:

7=2*0+7

9=2*1+7

11=2*2+7

13=2*3+7

15=2*4+7

17=2*5+7

y=2*x+7

An other way:

[tex]points\ ( 0,7)\ and\ (1,9)\\\\\Delta\ y=9-7=2\\\Delta\ x=1-0=1\\\\\\y-7=(x-0)*2\\\\y=2x+7\\[/tex]

The complete equation is [tex]y = 2x+7[/tex].

What is equation?

An equation is a condition on a variable such that two expressions in the variable should have equal value.

What is substitution?

Substitution means replacing the variables (letters) in an algebraic expression with their numerical values.

According to the question.

We have a table which shows the relation between x and y.

Let the missing term be a and b.

The the given equation becomes

[tex]y = ax + b[/tex]

For finding the value of a and b.

Substitute x = 0 and y = 7 in equation y = ax + b.

[tex]\implies 7 = a(0) + b\\\implies b = 7[/tex]

Again, substitute  x = 1 and y = 9 in the equation y = ax+ b

[tex]\implies 9 = a(1) +b\\\implies 9 = a + 7\\\implies a = 2[/tex]

substitute the value of a and b in the equation y = ax + b.

[tex]\implies y = 2x+ 7[/tex]

Therefore, the complete equation is [tex]y = 2x+7[/tex].

Find out more information about equation and substitution here:

https://brainly.com/question/2581775

#SPJ2

Need it done ASAP please help

Answers

Answer:

[tex]M_{st} = (\frac{-2+4}{2}, \frac{-4+6}{2})[/tex]  

[tex]M_{st}=(\frac{2}{2}, \frac{2}{2} )[/tex]

[tex]M_{st}=(1, 1)[/tex]

[tex]M_{cd}=(\frac{-6+4}{2} , \frac{10-8}{2} )[/tex]

[tex]M_{cd}=(\frac{-2}{2} , \frac{2}{2} )[/tex]

[tex]M_{cd}=(-1, 1)[/tex]

Which figure is the pre-image? Which figure is the image after the first transformation? Which figure is the image after the second transformation?

Answers

Answer:

I believe the red one is the first image then the blue then the green because they show the prime sign

Step-by-step explanation:

A piece of iron wire can be made into a circle with a radius of three centimeters.If I make a square around this wire,what is the area of the square

Answers

Answer:

the area should be 3 centimeters around the square

Step-by-step explanation:

Please see the attached picture

Answers

Answer:

C.I = (0.259,1.175) -> Fail to Reject H0  

Step-by-step explanation:

What is the equation of the line that passes through (4,3) and (2, -1)?

y = 4x -13
y = 6x+4
y = 2x-5
y = 1/2 x -2

Answers

Answer:

y=2x-5

Step-by-step explanation:

By using two-points form:

y-y1/y2-y1=x-x1/x2-x1

p(x1,y1)=(4,3)

p(x2,y2)=(2,-1)

Subtitute points in formula:

y-3/-1-3=x-4/2-4

y-3/-4=x-4/-2

y-3/-2=x-4/-1

1(y-3)=2(x-4)

y-3=2x-8

y=2x-8+3

y=2x-5

Note:if you need to ask any question please let me know.

The square root of 3/100 is between what two numbers

Answers

9514 1404 393

Answer:

  0.17 and 0.18

Step-by-step explanation:

Usually, a question like this asks for two integer values that bound the root. Here, those would be 0 and 1.

  √(3/100) = (√3)/10 ≈ 0.17320508...

You can truncate this at any point to find a number lower than √.03, then add 1 to that value's least-significant digit to find a number higher than √.03.

For example, if we use 4 digits, the two numbers bounding the root could be ...

  0.1732 and 0.1733

–20 ÷ 5 =

I need help

Answers

The answer is -4
-20 divided by 5 ^

Which comparison is correct?

Answers

Answer:

C is correct

Step-by-step explanation:

10/12=0.83...

2/3=0.66...

2/3<10/12

Answer:

C

Step-by-step explanation:

Why the others are incorrect:

A: [tex]\frac{2}{10} > \frac{3*2}{5*2}[/tex] → [tex]\frac{2}{10} > \frac{ 6}{10}[/tex] This statement/comparison is false

B : [tex]\frac{2*2}{4*2} > \frac{4}{8}[/tex] → [tex]\frac{4}{8} > \frac{4}{8}[/tex] This statement/comparison is false

D:[tex]\frac{9}{12} < \frac{3*2}{6*2}[/tex] → [tex]\frac{9}{12} < \frac{6}{12}[/tex] This statement/comparison is false

Why answer C is Correct

C: [tex]\frac{2*4}{3*4} < \frac{10}{12}[/tex] → [tex]\frac{8}{12} < \frac{10}{12}[/tex] This statement/comparison is true

3. A rectangular sheet of paper is 121/2 cm long and 102/3 cm wide. Find its perimeter .​

Answers

Answer:189 cm

Step-by-step explanation:

the area of a perimeter is 2L+2w while l is length and w is width

in this case, 121/2 is the length and 102/3 is the width.

using the formula it should be

121/2 x 2 +102/3 x

= 121 + 68

=189 cm

i hope this helps.

urgent !!!!!!!!!!!!!!! 10 points

Answers

Answer:

136 cm²

Step-by-step explanation:

Surface area = 2(lw+wh+hl)

l = 7

w = 2

h = 6

so,

2(7×2+2×6+7×6)

= 136 cm²

Answer:

136 cm^2

Step-by-step explanation:

L 7cm

W 6cm

D 2cm

7 x 6 + 6 x 2 + 2 x 7 (x 2) = 68 x 2 = 136cm^2

) Express the prime number 43 as the difference of two squares?​

Answers

Step-by-step explanation:

The prime 43 appears in the sixth twin-prime pair 41, 43. As a sum of four or fewer squares: 43 = 32 + 32 + 52 = 12 + 12 + 42 + 52 = 32 + 32 + 32 + 42. ... As a difference of two squares: 43 = 222 − 212.

If 6 pounds of fruit is 96 cents how much is one pound

Answers

Answer:

16 cents per pound

Step-by-step explanation:

Take the cost and divide by the number of pounds

96 cents / 6 lbs

16 cents per pound

what are the exponent and coefficient of the expression 4b-^3

Answers

9514 1404 393

Answer:

exponent: -3coefficient: 4

Step-by-step explanation:

The coefficient of a term is its constant multiplier. The exponent is the power to which the base is raised.

The term 4·b^(-3) has an exponent of -3, a base of b and a coefficient of 4.

The exponent is -3; the coefficient is 4.

Answer:

exponent = -3           coefficent = 4

Step-by-step explanation:


I need help answering this ASAP

Answers

Answer:

A the input x=3 goes to two different output values

Step-by-step explanation:

This is not a function

x = 3 goes to two different y values

x = 3 goes to t = 10 and y = 5


There are 11 green marbles and 12 orange marbles in a bag. You randomly
choose one of the marbles. What is the probability of choosing a green marble?

Answers

Green marbles=11Orange marbles =12Total marbles:-

[tex]\\ \Large\sf\longmapsto 11+12[/tex]

[tex]\\ \Large\sf\longmapsto 23[/tex]

[tex]\boxed{\Large{\sf P(G)=\dfrac{No\:of\:green\:marbles}{Total\:marbles}}}[/tex]

[tex]\\ \Large\sf\longmapsto P(G)=\dfrac{11}{23}[/tex]

Answer:

11/23

Step-by-step explanation:

11 green marbles and 12 orange marbles = 23 marbles

P(green) = green marbles / total marbles

               = 11/23

Stella and Michael are helping their friend Austin move. Stella can move one box for every four boxes that Michael can move. If Stella moves ten boxes, how many boxes can Michael move?

Answers

Answer:  40

Explanation:

Stella can move 1 box for every 4 boxes Michael moves.

She moves 10 boxes, so that must mean Michael moved 40 boxes (since 4*10 = 40).

Put another way, the ratio 1:4 bumps up to the equivalent form 10:40 after multiplying both parts by 10. The first value of each ratio is the amount of boxes Stella moves, and the second part is what Michael moves.

You could also solve it like this

1/4 = 10/x

1*x = 4*10

x = 40

In the second step, I used cross multiplication.

An experiment consists of 400 observations and four mutually exclusive groups. If the probability of a randomly selected item being classified into any of the four groups is equal, then the expected number of items that will be classified into group 1 is ________.

Answers

Answer:

The expected number of items that will be classified into group 1 is 100.

Step-by-step explanation:

For each observation, there are only two possible outcomes. Either it will be classified into group 1, or it will not. The probability of an observation being classified into group 1 is independent of any other observation, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

400 observations

This means that [tex]n = 400[/tex]

Four mutually exclusive groups. The probability of a randomly selected item being classified into any of the four groups is equal.

This means that [tex]p = 0.25[/tex]

Then the expected number of items that will be classified into group 1 is

[tex]E(X) = np = 400*0.25 = 100[/tex]

100 is the answer.

Find the inverse of f(x)
15-20/3

Answers

Answer:

C. (-3x+15)/2

Step-by-step explanation:

y = (15-2x)/3

To find the inverse, exchange x and y

x = (15-2y)/3

Solve for y

Multiply each side by 3

3x = (15-2y)/3 *3

3x= 15-2y

Subtract 15 from each side

3x-15 = 15-2y-15

3x-15 = -2y

Divide by -2

(3x-15)/-2 = -2y/-2

(-3x+15)/2 = y

596 is divisible by 2?
a.yes
b.no

Answers

Answer:

It's yes

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

number is even, so it can be evenly divided by 2. :)

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